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                Zju2599 Graduated Lexicographical Ordering                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：259MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium">Consider integer numbers from 1 to n. Let us call the sum of digits of an integer number its weight. Denote the weight of the number x as w(x). Now let us order the numbers using so called graduated lexicographical ordering, or shorter grlex ordering. Consider two integer numbers a and b. If w(a) &lt; w(b) then a goes before b in grlex ordering. If w(a) = w(b) then a goes before b in grlex ordering if and only if the decimal representation of a is lexicographically smaller than the decimal representation of b. Let us consider some examples. 120 &lt; grlex4 since w(120) = 1 + 2 + 0 = 3 &lt; 4 = w(4). 555 &lt; grlex78 since w(555) = 15 = w(78) and &quot;555&quot; is lexicographicaly smaller than &quot;78&quot;. 20 &lt; grlex200 since w(20) = 2 = w(200) and &quot;20&quot; is lexicographicaly smaller than &quot;200&quot;. Given n and some integer number k, find the position of the number k in grlex ordering of integer numbers from 1 to n, and the k-th number in this ordering. </span></p>
<p></p>
<p><span style="font-size: medium">考虑所有从1到n的整数。我们设一个整数 x 的十进制各位数字之和为 w(x)。 <br />
让我们重新将整数排序：对于整数a 和整数b，如果w(a)&lt;w(b)，则a 在 b之前。如果<br />
w(a)=w(b)，那么a 在b之前当且仅当a 的十进制表示在字典序中小于 b 的十进制表示。例<br />
如： <br />
120 &lt; grlex4 因为&nbsp; w(120) = 1 + 2 + 0 = 3 &lt; 4 = w(4)。 <br />
555 &lt; grlex78 因为&nbsp; w(555) = 15 = w(78) 并且&nbsp; &quot;555&quot;&nbsp; 的字典序小于&nbsp; &quot;78&quot;。 <br />
20 &lt; grlex200 因为&nbsp; w(20) = 2 = w(200) 并且&nbsp; &quot;20&quot;&nbsp; 的字典序小于&nbsp; &quot;200&quot;。 <br />
给定整数n和k，你需要求出1-n中的数按照上述方法排序后，k是第几个数，以及第 k<br />
个数是多少。 <br />
输入：包含多组数据，每组数据包含两个整数 n和 k。输入的最后一行是 n=k=0。 <br />
输出：对于每组数据，输出一行两个整数，分别表示k在 1-n中的编号，以及第 k个数<br />
是多少。 <br />
数据规模：1 &le; k &le; n &le; 10^18<br />
。 </span></p></p><hr/><h3>输入格式</h3><p><p><span style="font-size: medium">There are several lines in the input file, and each line stands two integers n and k (1 &lt;= k &lt;= n &lt;= 10^18). </span></p></p><hr/><h3>输出格式</h3><p><p><span style="font-size: medium">For each line in the input, output one line in the output file. First print the position of the number k in grlex ordering of integer numbers from 1 to n, and then the integer that occupies the k-th position in this ordering. </span></p></p><hr/><h3>样例输入</h3><pre>20 10


</pre><hr/><h3>样例输出</h3><pre>2 14
</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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